Universal space-time scaling symmetry in the dynamics of bosons across a quantum phase transition
arXiv:1605.01023 · doi:10.1126/science.aaf9657
Abstract
The dynamics of many-body systems spanning condensed matter, cosmology, and beyond is hypothesized to be universal when the systems cross continuous phase transitions. The universal dynamics is expected to satisfy a scaling symmetry of space and time with the crossing rate, inspired by the Kibble-Zurek mechanism. We test this symmetry based on Bose condensates in a shaken optical lattice. Shaking the lattice drives condensates across an effectively ferromagnetic quantum phase transition. After crossing the critical point, the condensates manifest delayed growth of spin fluctuations and develop anti-ferromagnetic spatial correlations resulting from sub-Poisson generation of topological defects. The characteristic times and lengths scale as power-laws of the crossing rate, yielding the temporal exponent 0.50(2) and the spatial exponent 0.26(2), consistent with theory. Furthermore, the fluctuations and correlations are invariant in scaled space-time coordinates, in support of the scaling symmetry of quantum critical dynamics.
9 pages, 6 figures
References in corpus (10)
- Many-Body Physics with Ultracold Gases
- Spontaneous symmetry breaking in a quenched ferromagnetic spinor Bose condensate
- Dynamical control of matter-wave tunneling in periodic potentials
- Tunable gauge potential for neutral and spinless particles in driven lattices
- Spontaneous vortices in the formation of Bose-Einstein condensates
- Critical Dynamics of Spontaneous Symmetry Breaking in a Homogeneous Bose gas
- Quench-induced supercurrents in an annular Bose gas
- Emergence of coherence and the dynamics of quantum phase transitions
- Roton-Maxon Excitation Spectrum of Bose Condensates in a Shaken Optical Lattice
- Transverse collisional instabilities of a Bose-Einstein condensate in a driven one-dimensional lattice
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- Dynamical phase transitions in quantum spin models with antiferromagnetic long-range interactions
- Universal driven critical dynamics across a quantum phase transition in ferromagnetic spinor atomic Bose-Einstein condensates
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